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38910885120 = 2832514922669
BaseRepresentation
bin100100001111010001…
…001111110100000000
310201102202200202202100
4210033101033310000
51114142141310440
625513031150400
72545151031522
oct441721176400
9121382622670
1038910885120
11155581a89a8
12765b215400
1338915432a3
141c51aa3a12
15102b0a1230
hex90f44fd00

38910885120 has 216 divisors, whose sum is σ = 135537129000. Its totient is φ = 10306142208.

The previous prime is 38910885113. The next prime is 38910885161. The reversal of 38910885120 is 2158801983.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6181733376 + 32729151744 = 78624^2 + 180912^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1705146 + ... + 1727814.

Almost surely, 238910885120 is an apocalyptic number.

38910885120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38910885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67768564500).

38910885120 is an abundant number, since it is smaller than the sum of its proper divisors (96626243880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38910885120 is a wasteful number, since it uses less digits than its factorization.

38910885120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22845 (or 22828 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 38910885120 in words is "thirty-eight billion, nine hundred ten million, eight hundred eighty-five thousand, one hundred twenty".